SOLUTION: Need help with this, thanks. Solve the inequality: x^2 – 56 > x

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Question 1026234: Need help with this, thanks.
Solve the inequality: x^2 – 56 > x
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+-+56+%3E+x+
Subtract +x+ from both sides
+x%5E2+-+x+-+56+%3E+0+
+%28+x+-+8+%29%2A%28+x+%2B+7+%29+%3E+0+
This product is greater than zero ( positive )
if both factors are (+), or
if both factors are (-)
----------------------
+x+%3E+8+
+x+%3C+-7+
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combining these:
+8+%3C+x+%3C+-7+
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check:
Suppose +x+=+8+
+x%5E2+-+56+%3E+x+
+8%5E2+-+56+%3E+8++
+64+-+56+%3E+8+
+8+%3E+8+
not true
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Soppose +x+=+-7+
+%28-7%29%5E2+-+56+%3E+-7+
+49+-+56+%3E+-7+
+-7+%3E+-7+
not true
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You could try +x+=+8.1+
and +x+=+-7.1+
These should satisfy the inequality
( both give TRUE results )